Repozytorium publikacji - Politechnika Gdańska

A construction of the heat kernel diagonal is considered as element of generalized zeta function theory, which gradient at the origin defines determinant of a differential operator in a technique for regularizing quadratic path integral. Some classes of explicit expressions of the Green function in the case of finite-gap potential coefficient of the heat equation are constructed. An algorithm and program for Mathematica are presented for a subclass directly linked to hyperelliptic functions.

Autorzy

• dr inż. Grzegorz Kwiatkowski link otwiera się w nowej karcie ,
• prof. dr hab. Sergey Leble link otwiera się w nowej karcie